Equivalences between GIT quotients of Landau-Ginzburg B-models

  title={Equivalences between GIT quotients of Landau-Ginzburg B-models},
  author={E I Segal},
We define the category of B-branes in a (not necessarily affine) LandauGinzburg B-model, incorporating the notion of R-charge. Our definition is a direct generalization of the category of perfect complexes. We then consider pairs of Landau-Ginzburg B-models that arise as different GIT quotients of a vector space by a one-dimensional torus, and show that for each such pair the two categories of B-branes are quasi-equivalent. In fact we produce a whole set of quasi-equivalences indexed by the… CONTINUE READING

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